Telekinesis, also known as psychokinesis, was a psychic ability which involved physical movement of objects without touching them.
Species known to have telekinetic powers included Time Lords, (TV: Last of the Time Lords) Daleks, (TV: Death to the Daleks) Fendahleen, (TV: Image of the Fendahl) the Empty Child, (TV: The Empty Child/The Doctor Dances), Humanised Daleks (COMIC: Children of the Revolution), the Korven, (TV: The Korven) Humans, (TV: The Lost Boy) the Vigil, Merry Galel's species (TV: The Rings of Akhaten) and the Sisterhood of Karn. (TV: The Brain of Morbius)
According to the Twelfth Doctor, the human race possessed latent psionic abilities that could be activated via outside sources such as bonding with a Sea Devil hatchling or a neural enhancer. (COMIC: Clara Oswald and the School of Death)
Telekinetic individuals included the Celestial Toymaker, (TV: The Celestial Toymaker) Herbert Clegg, The Great One, (TV: Planet of the Spiders) Sutekh, (TV: Pyramids of Mars), Caleera, otherwise known as the Sonomancer, (AUDIO: Scenes From Her Life, The Sonomancer, et al.) Helen Sinclair when she was gifted the powers of the Sonomancer by Caleera, (AUDIO: Stop the Clock) Luke Smith, (TV: The Lost Boy) Toby Zed when he was possessed by the Beast, (TV: The Impossible Planet, The Satan Pit) Innocet, (PROSE: Lungbarrow) the Pied Piper, (TV: The Day of the Clown) the Tenth Doctor when he was channelling the psychic energy of everyone on Earth (TV: Last of the Time Lords) and Merry Galel. (TV: The Rings of Akhaten)